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Finding the Third Proportional to 543,525,486,577 and 1,182,477,825,400

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Solution

The third proportional to 543,525,486,577 and 1,182,477,825,400 is: 2,572,563,462,237.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,525,486,577 : 1,182,477,825,400 = 1,182,477,825,400 : x
  2. Step 2: Convert to fraction form
    543,525,486,577/1,182,477,825,400 = 1,182,477,825,400/x
  3. Step 3: Cross multiply
    543,525,486,577x = 1,182,477,825,400 × 1,182,477,825,400
  4. Step 4: Simplify right side
    543,525,486,577x = 1,398,253,807,562,712,768,577,536
  5. Step 5: Solve for x
    x = 1,398,253,807,562,712,768,577,536/543,525,486,577
  6. Step 6: Final answer
    x = 2,572,563,462,237.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.